Category Archives: Collingwood

Concerning the philosopher R. G. Collingwood (1889–1943). Many if not most of my posts concern Collingwood somehow, so this category may not be of much use. See Articles on Collingwood for some articles by other persons

Boolean Arithmetic

Mathematics can be highly abstract, even when it remains applicable to daily life. I want to show this with the mathematics behind logic puzzles, such as how to derive a conclusion using all of the following premisses:

  1. Babies are illogical.
  2. Nobody is despised who can manage a crocodile.
  3. Illogical persons are despised.

The example, from Terence Tao’s blog, is attributed to Lewis Carroll. By the first and third premisses, babies are despised; by the second premiss then, babies cannot manage crocodiles.

George Boole, The Laws of Thought (1854), Open Court, 1940

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On Knowing Ourselves

In a 2012 post in this blog, I criticized a 2009 essay called “50 Years of Stupid Grammar Advice.” The putative advice was that of Strunk and White. However, what these two had written was not the elements of grammar, but The Elements of Style. They gave style advice by precept and example. The advice is good, if well understood. The critic should recognize that, as I wrote, “Rules of style are supposed to induce thinking, not obedience.”

View between two hotel buildings from one mountainside to another, with a bit of the sea beyond
All photos taken in Delphi, July 12–14, 2017

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The Tree of Life

My two recent courses at the Nesin Mathematics Village had a common theme. I want to describe the theme here, as simply as I can—I mean, by using as little technical knowledge of mathematics as I can. But I shall talk also about related poetry and philosophy, of T. S. Eliot and R. G. Collingwood respectively.


An elaborate binary tree, with spirals

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Şirince January 2018

In the Nesin Mathematics Village recently, I was joined at breakfast one morning by a journalist called Jérémie Berlioux. He knew Clément Girardot, the journalist whom I had met in the Village in the summer of 2016. This was before the coup attempt of July 15, but after the terror attack at Atatürk Airport on June 28. I wrote about this attack the next day in “Life in Wartime” on this blog. Then I headed off to Şirince to join a “research group.” My wife and colleague came along, though not to be part of the group; afterwards we headed up the coast for a beach holiday. We were at the beach when the coup attempt happened, as I wrote in my next blog article, “War Continues.” I contrasted politics with mathematics, which was an inherently nonviolent struggle. This was the kind of struggle engaged in by the research group in the Math Village.

Large clay pot against dark vines

Outside the Nişanyan Library

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What Philosophy Is

With my presumptuous title, I imitate Arthur Danto’s What Art Is (2013), mentioned in my last post, “Some Say Poetry.” The book is fine, and I have learned from it; but Danto could have learned from Collingwood’s Principles of Art.

Picasso, The Tragedy (1903), National Gallery of Art, Washington Continue reading

Some Say Poetry

In a poetry review, a remark on being a student has drawn my attention:

In My Poets, a work of autobiographical criticism with occasional ventriloquial interludes, McLane recalls two “early impasses in reading,” freshman-year encounters with Charles Olson and Frank O’Hara. She writes about not “getting it” but wanting to get it, about a desire to get it that was left wanting by code-breaking and analysis and satisfied by hearing and feeling.

This is from the second half of a “New Books” column by Christine Smallwood, in the Reviews section of Harper’s, July 2017. After quoting Smallwood’s review, I want to say something about learning and creating, in poetry and also in mathematics.

Potted palms with plaster farm animals on hillside behind
Kuzguncuk, 2017.11.05

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Fascism As Abetted by Realism

Fascism is class warfare waged on behalf of the capitalists. This should be realized by anybody who is attracted to accidental features of Fascism such as nationalism, racism, or militarism. The Fascists are not on your side, even if they share your nationality or “race” or fascination with weaponry and military discipline.

The illustrations are explained near the end of the text. This one, the cover of Cruisin’ 1964, shows a young bearded man, holding Report of the Warren Commission against a law dictionary, saying to another, “Luthor … how come you never make it to the free speech rallies anymore?” Luthor has a cigarette, closed eyes, and a guitar

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NL XXV: The Three Laws of Politics

Index to this series

Executive summary (added September 11, 2018): The the three laws of politics are that (1) within the body politic, there is a ruling class, which is a society proper; (2) the ruling class can take in members from the ruled class; (3) the ruled and ruling classes will resemble one another, so that e.g. rulers of slaves will become slavish themselves. I compare such laws with physical laws, as discussed by Einstein; but on this subject, a look ahead to Chapter XXXI, “Classical Physics and Classical Politics,” would be in order. Meanwhile, by the Second Law, the body politic, or its ruling class, can be a permanent society; Nazi claims about the youth or senility of different states are bogus. There are further gradations within the ruling and ruled classes, according to strength of will; a weak will can be strengthened by another person’s stronger will through induction.


A pervading theme of the New Leviathan is freedom of will. Whether we actually have it is only a pseudo-problem (13. 17). Some persons have been fooled into thinking it a problem, perhaps by the misleading myth that free will is a divine gift, like life itself, breathed into our nostrils when, in Genesis 2:7, God forms us of the dust of the ground. As Collingwood observes at the end of Chapter XXIII, “The Family As a Society,” we are born neither free nor in chains. We have to grow up. Growing up is becoming free.

The Book of Genesis Illustrated by Robert Crumb (New York: Norton, 2009)

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On Chapman’s Homer’s Iliad, Book IX

Index to this series | Text of Chapman’s Homer’s Iliad

Note added August 25; edited and augmented, August 27; 2024: In my view, the key events of the Iliad are Achilles’s holding back from

  1. killing Agamemnon in Book I;
  2. fighting on Agamemnon’s side in Book IX.

The latter case of self-restraint may be a disaster for Achilles, not to mention Patroclus and the other Greeks who die as a result; but it is also somehow a result of the former case. Not killing on impulse is probably a good thing; otherwise you have the situation of Njal’s Saga, which I took up in writing “On Homer’s Iliad Book I” (November 29, 2022).

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NL XXIV: The Body Politic, Social and Non-Social

Index to this series

Executive summary (added September 11, 2018): The subject of political theory is the kind of community called a body politic. For the Ancients, this is a society, composed of, for example, the citizens of Athens, excluding women, children, slaves, and foreigners. In medieval times, all human beings in the community compose a body politic, which is thus non-social, though having within it the societies called estates; sovereigns rule by force (e.g. by the bribery called the granting of liberties), but may in turn be ruled, as is the husband, sovereign of the wife. For Hobbes, a sovereign can also rule by authority. An eristic argument would insist that only one of these accounts of the body politic is correct; but the world is in the flux described by Heraclitus, and the way to come to terms with it is not eristic, but dialectic, as described in the Meno of Plato.


Dialectic is the way to come to terms with a world of constant change. On the internet in particular, too many persons engage in eristic, staking out a position like the Greeks at Troy, who built a wall around their ships on the shore and tried to defend it against all comers.

Dogs stake out their positions in the shade,
2017.09.14

In the argument of the New Leviathan, we pass from the family to the state, which Collingwood calls the body politic. This is what political theory must give a scientific account of (24. 1). We consider three phases of political theory:

  1. ancient,
  2. medieval, and
  3. modern.

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